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arXiv · 2204.04337

Helton-Howe Trace, Connes-Chern character and Quantization

Xiang Tang·Yi Wang·Dechao Zheng
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Abstract

We study the Helton-Howe trace and the Connes-Chern character for Toeplitz operators on weighted Bergman spaces via the idea of quantization. We prove a local formula for the large $t$-limit of the Connes-Chern character as the weight goes to infinity. And we show that the Helton-Howe trace of Toeplitz operators is independent of the weight $t$ and obtain a local formula for the Helton-Howe trace for all weighted Bergman spaces using harmonic analysis and quantization.

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Xiang Tang, Yi Wang, Dechao Zheng. 2022-04-09. Helton-Howe Trace, Connes-Chern character and Quantization. https://arxiv.org/abs/2204.04337

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